In this paper, we study the restricted injective dimensions of complexes. Some new
characterizations of the restricted injective dimensions are obtained. In particular, it is shown …

Let R be a commutative Noetherian ring. If cmd R≤ 1, then it is shown that for any R-module
the large restricted injective dimension is a refinement of the Gorenstein injective dimension …

Restricted injective dimensions over local homomorphisms Skip to content Should you have
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We study the restricted projective dimension of complexes and give some new
characterizations of the restricted projective dimension. In particular, it is shown that the …

Following our previous work about quasi-projective dimension [11], in this paper, we
introduce quasi-injective dimension as a generalization of injective dimension. We recover …

We study the relations between finitistic dimensions and restricted injective dimensions. Let
R be a ring and T a left R-module with A= End RT. If RT is selforthogonal, then we show that …

Let (R, m) be a commutative Noetherian local ring, I an ideal of R and let M be a non-zero I-
cofinite R-module. In this paper we show that if M has finite injective dimension, then dim …

Let $ R $ be a commutative ring. An $ R $-module $ E $ is said to be regular injective
provided that $\Ext_R^ 1 (R/I, E)= 0$ for any regular ideal $ I $ of $ R $. We first show that …

In this paper, we study injective dimension and Gorenstein injective dimension over local
ring homomorphisms. Some well-known results are generalized. For example, the Bass …

We introduce and investigate the notion of envelope dimension of commutative rings and
modules over them. In particular, we show that the envelope dimension of a ring,. We also …